Question

Find the volume of the compound shape.​

Answer 1

Given:

• Hemisphere ×2 or sphere
• Cylinder

Solution:

Volume of the sphere:

$v = \frac{4}{3} \pi {r}^{3}$

$v = \frac{4}{3} \times \pi \times {2}^{3}$

$v = 33.51 \: {m}^{3}$

Volume of the cylinder:

$v = \pi {r}^{2} h$

$v = \pi \times {2}^{2} \times 6$

$v = 75.40 \: {m}^{3}$

Total volume:

$v = 75.40 + 33.51$

$v = 108.91 \: {m}^{3}$

Hence, the volume of the given compound shape is 108.91 cubic meters.

Answer 2

sphere:

= 33.51 m^3

cylinder:

= 75.40 m^3

all together:

= 108.91 m^3